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Finding the Fourth Proportional to 1,278.68, 1,764.07 and 739.96

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Solution

The fourth proportional to 1,278.68, 1,764.07 and 739.96 is: 1,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.68 : 1,764.07 = 739.96 : x
  2. Step 2: Convert to fraction form
    1,278.68/1,764.07 = 739.96/x
  3. Step 3: Cross multiply
    1,278.68x = 1,764.07 × 739.96
  4. Step 4: Simplify right side
    1,278.68x = 1,305,334.98
  5. Step 5: Solve for x
    x = 1,305,334.98/1,278.68
  6. Step 6: Final answer
    x = 1,020.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.